length n = 30
dimension k = 4
alphabet length q = 4

minimum distance d = 21

generator matrix:
000100110111011101110111111111
001001011012102310121023133323
010011001320211023023101322311
100010102301120321301320212223

projective group of automorphisms generated by:
0010
0001
1000
0100

0001
1000
0100
0010